BRAINLIEST!!! HELP!! In the figure...

Mathematics

1 answer:

V125BC [204]3 years ago

7 0

Answer:

angle 1 = 61

Step-by-step explanation:

This is a little hard to explain without drawing a diagram .. but if you extend live vs until it intersects line p, you can form a triangle. Using corresponding angles rule for parallel lines, you have the exterior angle of the triangle with line p is 130, meaning the interior angle is 50 (angles on a straight line add to 180). Similarly, the interior angle of the triangle at S is 180 -111 = 69. So the two interior angles add to 50+ 69 = 119. Lastly, angle 1 is equal to the third interior angle of this triangle (due to vertically opposite angles being equal), so since angles in a triangle add to 180, angle 1 = 180 -119 = 61.

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Alekssandra [29.7K]

Hello!

I've attached the diagram.

For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).

Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²

The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²

Simplify:
64 + 36 = c²
100 = c²
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Answer:
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